Concept-wise Practice

substitution MCQ Questions for Class 10

substitution se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

419 questions tagged with substitution.

यदि (r(x)=x-3-4x), तो (r(-2)) का मान क्या है?

If (r(x)=x-3-4x), what is the value of (r(-2))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(r(-2)=(-2)3-4(-2)=-8+8=0). Brackets are important for negative values.

Step 2

Why this answer is correct

The correct answer is A. (0). (r(-2)=(-2)3-4(-2)=-8+8=0). Brackets are important for negative values.

Step 3

Exam Tip

(r(-2)=(-2)3-4(-2)=-8+8=0) है। ऋणात्मक मानों में कोष्ठक लगाना जरूरी है।

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यदि (p(x)=3x-2-2x+1), तो (p(2)-p(1)) का मान क्या है?

If (p(x)=3x-2-2x+1), what is the value of (p(2)-p(1))?

Explanation opens after your attempt
Correct Answer

B. (6)

Step 1

Concept

(p(2)=9) and (p(1)=3). Therefore (p(2)-p(1)=6).

Step 2

Why this answer is correct

The correct answer is B. (6). (p(2)=9) and (p(1)=3). Therefore (p(2)-p(1)=6).

Step 3

Exam Tip

(p(2)=9) और (p(1)=3) है। इसलिए (p(2)-p(1)=6) है।

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यदि (f(x)=x-2+2x-8), तो निम्न में से कौन (f(x)) का शून्य है?

If (f(x)=x-2+2x-8), which of the following is a zero of (f(x))?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

(f(2)=4+4-8=0). Therefore (2) is a zero of this polynomial.

Step 2

Why this answer is correct

The correct answer is B. (2). (f(2)=4+4-8=0). Therefore (2) is a zero of this polynomial.

Step 3

Exam Tip

(f(2)=4+4-8=0) है। इसलिए (2) इस बहुपद का शून्य है।

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यदि (q(x)=x-2-kx+6) और (q(2)=0), तो (k) का मान क्या है?

If (q(x)=x-2-kx+6) and (q(2)=0), what is the value of (k)?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

(q(2)=4-2k+6=0) gives (10-2k=0). So (k=5).

Step 2

Why this answer is correct

The correct answer is C. (5). (q(2)=4-2k+6=0) gives (10-2k=0). So (k=5).

Step 3

Exam Tip

(q(2)=4-2k+6=0) से (10-2k=0) मिलता है। इसलिए (k=5) है।

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यदि (h(x)=x-2+2x), तो (h(-2)) का मान क्या है?

If (h(x)=x-2+2x), what is the value of (h(-2))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(h(-2)=(-2)2+2(-2)=4-4=0). Use brackets and check signs when substituting a negative value.

Step 2

Why this answer is correct

The correct answer is A. (0). (h(-2)=(-2)2+2(-2)=4-4=0). Use brackets and check signs when substituting a negative value.

Step 3

Exam Tip

(h(-2)=(-2)2+2(-2)=4-4=0) है। ऋणात्मक मान रखते समय कोष्ठक और चिह्नों का ध्यान रखें।

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(p(x)=2x-3-5x-2+7x-4) में (p(0)+p(1)) का मान क्या है?

What is the value of (p(0)+p(1)) for (p(x)=2x-3-5x-2+7x-4)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(0)=-4) and (p(1)=2-5+7-4=0), so (p(0)+p(1)=-4). Always substitute each value separately before adding.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(0)=-4) and (p(1)=2-5+7-4=0), so (p(0)+p(1)=-4). Always substitute each value separately before adding.

Step 3

Exam Tip

(p(0)=-4) और (p(1)=2-5+7-4=0), इसलिए योग (-4+4=0) नहीं बल्कि (-4+0=-4)। सही गणना में (p(0)+p(1)=-4) होता है।

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यदि (g(x)=3x-2-x), तो (g(1)) का मान क्या है?

If (g(x)=3x-2-x), what is the value of (g(1))?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

(g(1)=3(1)2-1=2). Substitute (1) for each (x) and simplify.

Step 2

Why this answer is correct

The correct answer is B. (2). (g(1)=3(1)2-1=2). Substitute (1) for each (x) and simplify.

Step 3

Exam Tip

(g(1)=3(1)2-1=2) है। प्रत्येक (x) की जगह (1) रखकर सरल करें।

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यदि (f(x)=x-2+4x), तो (f(-4)) का मान क्या है?

If (f(x)=x-2+4x), what is the value of (f(-4))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(f(-4)=(-4)2+4(-4)=16-16=0). Pay attention to signs while substituting negative values.

Step 2

Why this answer is correct

The correct answer is A. (0). (f(-4)=(-4)2+4(-4)=16-16=0). Pay attention to signs while substituting negative values.

Step 3

Exam Tip

(f(-4)=(-4)2+4(-4)=16-16=0) है। ऋणात्मक मान रखते समय चिह्नों पर ध्यान दें।

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बहुपद (p(x)=2x-2+3) में (p(0)) का मान क्या है?

For the polynomial (p(x)=2x-2+3), what is the value of (p(0))?

Explanation opens after your attempt
Correct Answer

C. (3)

Step 1

Concept

(p(0)=2(0)2+3=3). When (x=0), the constant term remains.

Step 2

Why this answer is correct

The correct answer is C. (3). (p(0)=2(0)2+3=3). When (x=0), the constant term remains.

Step 3

Exam Tip

(p(0)=2(0)2+3=3) है। (x=0) रखने पर नियत पद बचता है।

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यदि (p(x)=x-2-9), तो (p(3)) का मान क्या है?

If (p(x)=x-2-9), what is the value of (p(3))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(3)=32-9=0). Such a value can also be called a zero of the polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(3)=32-9=0). Such a value can also be called a zero of the polynomial.

Step 3

Exam Tip

(p(3)=32-9=0)। ऐसे मान को बहुपद का शून्य भी कहा जा सकता है।

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(p(x)=3x-2-2x+5) के लिए (p(2)) का मान क्या है?

For (p(x)=3x-2-2x+5), what is the value of (p(2))?

Explanation opens after your attempt
Correct Answer

C. (13)

Step 1

Concept

(p(2)=3(2)2-2(2)+5=13). Substitute the given number for (x) carefully.

Step 2

Why this answer is correct

The correct answer is C. (13). (p(2)=3(2)2-2(2)+5=13). Substitute the given number for (x) carefully.

Step 3

Exam Tip

(p(2)=3(2)2-2(2)+5=13)। मान निकालते समय (x) की जगह दी गई संख्या रखें।

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यदि (r(x)=4x-2), तो (r\left\(\frac{1}{2}\right\)) क्या है?

If (r(x)=4x-2), what is (r\left\(\frac{1}{2}\right\))?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

(r\left\(\frac{1}{2}\right\)=4\left\(\frac{1}{2}\right\)2=1). Use brackets when substituting fractions.

Step 2

Why this answer is correct

The correct answer is A. (1). (r\left\(\frac{1}{2}\right\)=4\left\(\frac{1}{2}\right\)2=1). Use brackets when substituting fractions.

Step 3

Exam Tip

(r\left\(\frac{1}{2}\right\)=4\left\(\frac{1}{2}\right\)2=1) है। भिन्न रखते समय कोष्ठक का प्रयोग करें।

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\(3x^2+2x+1\) में (x=1) रखने पर कौन सा मान मिलेगा?

What value is obtained by putting (x=1) in \(3x^2+2x+1\)?

Explanation opens after your attempt
Correct Answer

D. (6)

Step 1

Concept

(3(1)2+2(1)+1=6). After substitution, simplify the sum carefully.

Step 2

Why this answer is correct

The correct answer is D. (6). (3(1)2+2(1)+1=6). After substitution, simplify the sum carefully.

Step 3

Exam Tip

(3(1)2+2(1)+1=6) है। प्रतिस्थापन के बाद सरल जोड़ करें।

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(p(x)=x-2+5) में (p(-2)) का मान क्या है?

For (p(x)=x-2+5), what is (p(-2))?

Explanation opens after your attempt
Correct Answer

C. (9)

Step 1

Concept

(p(-2)=(-2)2+5=9). The square of a negative value is positive.

Step 2

Why this answer is correct

The correct answer is C. (9). (p(-2)=(-2)2+5=9). The square of a negative value is positive.

Step 3

Exam Tip

(p(-2)=(-2)2+5=9) है। ऋणात्मक मान का वर्ग धनात्मक होता है।

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(p(x)=2x-2-3x+4) में (p(-1)) का मान क्या है?

For (p(x)=2x-2-3x+4), what is (p(-1))?

Explanation opens after your attempt
Correct Answer

D. (9)

Step 1

Concept

(p(-1)=2(-1)2-3(-1)+4=9). Use brackets when squaring a negative number.

Step 2

Why this answer is correct

The correct answer is D. (9). (p(-1)=2(-1)2-3(-1)+4=9). Use brackets when squaring a negative number.

Step 3

Exam Tip

(p(-1)=2(-1)2-3(-1)+4=9) है। ऋणात्मक संख्या का वर्ग रखते समय कोष्ठक लगाएँ।

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यदि (q(x)=x-3-x), तो (q(0)) का मान क्या है?

If (q(x)=x-3-x), what is the value of (q(0))?

Explanation opens after your attempt
Correct Answer

B. (0)

Step 1

Concept

(q(0)=03-0=0). When substituting (0), check each term containing (x).

Step 2

Why this answer is correct

The correct answer is B. (0). (q(0)=03-0=0). When substituting (0), check each term containing (x).

Step 3

Exam Tip

(q(0)=03-0=0) है। (0) रखने पर हर (x) वाला पद सावधानी से देखें।

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बहुपद (p(x)=x-2+2x+1) में (p(1)) का मान क्या है?

For (p(x)=x-2+2x+1), what is the value of (p(1))?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

(p(1)=12+2(1)+1=4). Substitute the given number for every (x).

Step 2

Why this answer is correct

The correct answer is C. (4). (p(1)=12+2(1)+1=4). Substitute the given number for every (x).

Step 3

Exam Tip

(p(1)=12+2(1)+1=4) होता है। मान निकालते समय हर (x) की जगह दी गई संख्या रखें।

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(p(x)=x-2+3x+2) के लिए (p(1)) का मान क्या है?

For (p(x)=x-2+3x+2), what is the value of (p(1))?

Explanation opens after your attempt
Correct Answer

C. (6)

Step 1

Concept

(p(1)=12+3\cdot1+2=6). While evaluating, replace every (x) with the given number.

Step 2

Why this answer is correct

The correct answer is C. (6). (p(1)=12+3\cdot1+2=6). While evaluating, replace every (x) with the given number.

Step 3

Exam Tip

(p(1)=12+3\cdot1+2=6) है। मान निकालते समय हर (x) की जगह दी गई संख्या रखें।

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(p(x)=2x-2-8) के लिए (p(2)) का मान क्या है?

For (p(x)=2x-2-8), what is the value of (p(2))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(2)=2\cdot22-8=8-8=0). Square first, then multiply.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(2)=2\cdot22-8=8-8=0). Square first, then multiply.

Step 3

Exam Tip

(p(2)=2\cdot22-8=8-8=0) है। पहले वर्ग करें फिर गुणा करें।

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\(x^2+1\) में (x=1) रखने पर क्या मान मिलेगा?

What value is obtained by putting (x=1) in \(x^2+1\)?

Explanation opens after your attempt
Correct Answer

C. (2)

Step 1

Concept

\(1^2+1=2\). Even for small values, calculate in the correct order.

Step 2

Why this answer is correct

The correct answer is C. (2). \(1^2+1=2\). Even for small values, calculate in the correct order.

Step 3

Exam Tip

\(1^2+1=2\) होता है। छोटे मानों पर भी सही क्रम से गणना करें।

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(p(x)=2x+3) में (p(2)) का मान क्या है?

If (p(x)=2x+3), what is the value of (p(2))?

Explanation opens after your attempt
Correct Answer

B. (7)

Step 1

Concept

(p(2)=2\cdot2+3=7). Substitute the given number in place of (x).

Step 2

Why this answer is correct

The correct answer is B. (7). (p(2)=2\cdot2+3=7). Substitute the given number in place of (x).

Step 3

Exam Tip

(p(2)=2\cdot2+3=7) होता है। मान निकालते समय (x) की जगह दी गई संख्या रखें।

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यदि \(x^{5}=3\), तो \(x^{15}+x^{10}\) का मान क्या है?

If \(x^{5}=3\), what is the value of \(x^{15}+x^{10}\)?

Explanation opens after your attempt
Correct Answer

B. (36)

Step 1

Concept

Here (x^{15}=\(x^{5}\)^{3}=27) and (x^{10}=\(x^{5}\)^{2}=9). Therefore, the sum is (36).

Step 2

Why this answer is correct

The correct answer is B. (36). Here (x^{15}=\(x^{5}\)^{3}=27) and (x^{10}=\(x^{5}\)^{2}=9). Therefore, the sum is (36).

Step 3

Exam Tip

(x^{15}=\(x^{5}\)^{3}=27) और (x^{10}=\(x^{5}\)^{2}=9)। इसलिए योग (36) है।

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यदि \(x^{4}=5\), तो \(x^{12}-x^{8}\) का मान क्या है?

If \(x^{4}=5\), what is the value of \(x^{12}-x^{8}\)?

Explanation opens after your attempt
Correct Answer

C. (100)

Step 1

Concept

Here (x^{12}=\(x^{4}\)^{3}=125) and (x^{8}=\(x^{4}\)^{2}=25). Therefore, the difference is (100).

Step 2

Why this answer is correct

The correct answer is C. (100). Here (x^{12}=\(x^{4}\)^{3}=125) and (x^{8}=\(x^{4}\)^{2}=25). Therefore, the difference is (100).

Step 3

Exam Tip

(x^{12}=\(x^{4}\)^{3}=125) और (x^{8}=\(x^{4}\)^{2}=25)। इसलिए अंतर (100) है।

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यदि \(x^{3}=2\), तो \(x^{9}+x^{6}\) का मान क्या है?

If \(x^{3}=2\), what is the value of \(x^{9}+x^{6}\)?

Explanation opens after your attempt
Correct Answer

A. (12)

Step 1

Concept

Here (x^{9}=\(x^{3}\)^{3}=8) and (x^{6}=\(x^{3}\)^{2}=4), so the sum is (12). In exams, express powers as multiples of the given power.

Step 2

Why this answer is correct

The correct answer is A. (12). Here (x^{9}=\(x^{3}\)^{3}=8) and (x^{6}=\(x^{3}\)^{2}=4), so the sum is (12). In exams, express powers as multiples of the given power.

Step 3

Exam Tip

(x^{9}=\(x^{3}\)^{3}=8) और (x^{6}=\(x^{3}\)^{2}=4), इसलिए योग (12) है। परीक्षा में दी हुई घात के गुणजों में अभिव्यक्ति लिखें।

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यदि \(x^{2}=3\), तो \(x^{6}-x^{4}\) का मान क्या है?

If \(x^{2}=3\), what is the value of \(x^{6}-x^{4}\)?

Explanation opens after your attempt
Correct Answer

A. (18)

Step 1

Concept

Here (x^{6}=\(x^{2}\)^{3}=27) and (x^{4}=\(x^{2}\)^{2}=9), so the difference is (18). In exams, express powers using the given \(x^{2}\).

Step 2

Why this answer is correct

The correct answer is A. (18). Here (x^{6}=\(x^{2}\)^{3}=27) and (x^{4}=\(x^{2}\)^{2}=9), so the difference is (18). In exams, express powers using the given \(x^{2}\).

Step 3

Exam Tip

(x^{6}=\(x^{2}\)^{3}=27) और (x^{4}=\(x^{2}\)^{2}=9), इसलिए अंतर (18) है। परीक्षा में दी हुई घात \(x^{2}\) के रूप में लिखें।

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बहुपद (P(x)=2x-3-5x-2+x-7) में (x=-1) रखने पर (P(-1)) का मान क्या है?

For the polynomial (P(x)=2x-3-5x-2+x-7), what is the value of (P(-1))?

Explanation opens after your attempt
Correct Answer

A. (,-15,)

Step 1

Concept

(P(-1)=2(-1)3-5(-1)2+(-1)-7=-15). In exams, always use brackets while substituting a negative value.

Step 2

Why this answer is correct

The correct answer is A. (,-15,). (P(-1)=2(-1)3-5(-1)2+(-1)-7=-15). In exams, always use brackets while substituting a negative value.

Step 3

Exam Tip

(P(-1)=2(-1)3-5(-1)2+(-1)-7=-15)। परीक्षा में ऋणात्मक मान रखते समय brackets जरूर लगाएं।

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यदि (a=2) और (b=-3), तो \(a^2b-ab^2\) का मान क्या होगा?

If (a=2) and (b=-3), what is the value of \(a^2b-ab^2\)?

Explanation opens after your attempt
Correct Answer

A. (,-30,)

Step 1

Concept

(a-2b-ab-2=4(-3)-2(9)=-12-18=-30). In exams, the square of a negative number is always positive.

Step 2

Why this answer is correct

The correct answer is A. (,-30,). (a-2b-ab-2=4(-3)-2(9)=-12-18=-30). In exams, the square of a negative number is always positive.

Step 3

Exam Tip

(a-2b-ab-2=4(-3)-2(9)=-12-18=-30)। परीक्षा में ऋणात्मक संख्या का वर्ग हमेशा धनात्मक होता है।

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बहुपद (P(x)=x-3-4x+1) में (x=2) रखने पर (P(2)) का मान क्या है?

For the polynomial (P(x)=x-3-4x+1), what is the value of (P(2))?

Explanation opens after your attempt
Correct Answer

A. (,1,)

Step 1

Concept

(P(2)=23-4(2)+1=8-8+1=1). In exams, use brackets while substituting values.

Step 2

Why this answer is correct

The correct answer is A. (,1,). (P(2)=23-4(2)+1=8-8+1=1). In exams, use brackets while substituting values.

Step 3

Exam Tip

(P(2)=23-4(2)+1=8-8+1=1)। परीक्षा में substitution करते समय bracket का उपयोग करें।

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यदि (x=4) है तो \(x^3-3x^2+2x\) का मान क्या है?

If (x=4), what is the value of \(x^3-3x^2+2x\)?

Explanation opens after your attempt
Correct Answer

C. (24)

Step 1

Concept

Substituting gives (64-3(16)+8=64-48+8=24). Calculating powers first is the correct order.

Step 2

Why this answer is correct

The correct answer is C. (24). Substituting gives (64-3(16)+8=64-48+8=24). Calculating powers first is the correct order.

Step 3

Exam Tip

मान रखने पर (64-3(16)+8=64-48+8=24)। पहले घात निकालना सही क्रम है।

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यदि (a=2) और (b=5) है तो \(a^2b+ab^2\) का मान क्या है?

If (a=2) and (b=5), what is the value of \(a^2b+ab^2\)?

Explanation opens after your attempt
Correct Answer

B. (70)

Step 1

Concept

(a-2b+ab-2=ab(a+b)). Thus \(2\cdot5\cdot7=70\).

Step 2

Why this answer is correct

The correct answer is B. (70). (a-2b+ab-2=ab(a+b)). Thus \(2\cdot5\cdot7=70\).

Step 3

Exam Tip

(a-2b+ab-2=ab(a+b)) है। इसलिए \(2\cdot5\cdot7=70\) है।

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